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Finding the Fourth Proportional to 1,110.15, 1,665.45 and 379.76

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Solution

The fourth proportional to 1,110.15, 1,665.45 and 379.76 is: 569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.15 : 1,665.45 = 379.76 : x
  2. Step 2: Convert to fraction form
    1,110.15/1,665.45 = 379.76/x
  3. Step 3: Cross multiply
    1,110.15x = 1,665.45 × 379.76
  4. Step 4: Simplify right side
    1,110.15x = 632,462.96
  5. Step 5: Solve for x
    x = 632,462.96/1,110.15
  6. Step 6: Final answer
    x = 569.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.